%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SEU149+3 : TPTP v8.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 15:01:20 EDT 2024 % Result : Theorem 0.13s 0.58s % Output : CNFRefutation 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.08 % Problem : SEU149+3 : TPTP v8.2.0. Released v3.2.0. % 0.00/0.08 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.08/0.28 % Computer : n028.cluster.edu % 0.08/0.28 % Model : x86_64 x86_64 % 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.28 % Memory : 8042.1875MB % 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.28 % CPULimit : 300 % 0.08/0.28 % WCLimit : 300 % 0.08/0.28 % DateTime : Fri Jun 21 16:59:38 EDT 2024 % 0.08/0.28 % CPUTime : % 0.13/0.50 start to proof:theBenchmark % 0.13/0.57 %------------------------------------------- % 0.13/0.57 % File :CSE---1.7 % 0.13/0.57 % Problem :theBenchmark % 0.13/0.57 % Transform :cnf % 0.13/0.57 % Format :tptp:raw % 0.13/0.57 % Command :java -jar mcs_scs.jar %d %s % 0.13/0.57 % 0.13/0.57 % Result :Theorem 0.030000s % 0.13/0.57 % Output :CNFRefutation 0.030000s % 0.13/0.57 %------------------------------------------- % 0.13/0.58 %------------------------------------------------------------------------------ % 0.13/0.58 % File : SEU149+3 : TPTP v8.2.0. Released v3.2.0. % 0.13/0.58 % Domain : Set theory % 0.13/0.58 % Problem : Basic properties of sets, theorem 8 % 0.13/0.58 % Version : [Urb06] axioms : Especial. % 0.13/0.58 % English : % 0.13/0.58 % 0.13/0.58 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets % 0.13/0.58 % : [Urb06] Urban (2006), Email to G. Sutcliffe % 0.13/0.58 % Source : [Urb06] % 0.13/0.58 % Names : zfmisc_1__t8_zfmisc_1 [Urb06] % 0.13/0.58 % 0.13/0.58 % Status : Theorem % 0.13/0.58 % Rating : 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.24 v6.1.0, 0.30 v5.5.0, 0.26 v5.4.0, 0.25 v5.3.0, 0.26 v5.2.0, 0.05 v5.0.0, 0.17 v4.1.0, 0.13 v4.0.1, 0.17 v3.7.0, 0.10 v3.5.0, 0.11 v3.4.0, 0.16 v3.3.0, 0.14 v3.2.0 % 0.13/0.58 % Syntax : Number of formulae : 7 ( 3 unt; 0 def) % 0.13/0.58 % Number of atoms : 14 ( 8 equ) % 0.13/0.58 % Maximal formula atoms : 4 ( 2 avg) % 0.13/0.58 % Number of connectives : 9 ( 2 ~; 1 |; 0 &) % 0.13/0.58 % ( 4 <=>; 2 =>; 0 <=; 0 <~>) % 0.13/0.58 % Maximal formula depth : 8 ( 5 avg) % 0.13/0.58 % Maximal term depth : 2 ( 1 avg) % 0.13/0.58 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty) % 0.13/0.58 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty) % 0.13/0.58 % Number of variables : 16 ( 14 !; 2 ?) % 0.13/0.58 % SPC : FOF_THM_RFO_SEQ % 0.13/0.58 % 0.13/0.58 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar % 0.13/0.58 % library, www.mizar.org % 0.13/0.58 %------------------------------------------------------------------------------ % 0.13/0.58 fof(antisymmetry_r2_hidden,axiom, % 0.13/0.58 ! [A,B] : % 0.13/0.58 ( in(A,B) % 0.13/0.58 => ~ in(B,A) ) ). % 0.13/0.58 % 0.13/0.58 fof(commutativity_k2_tarski,axiom, % 0.13/0.58 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ). % 0.13/0.58 % 0.13/0.58 fof(d1_tarski,axiom, % 0.13/0.58 ! [A,B] : % 0.13/0.58 ( B = singleton(A) % 0.13/0.58 <=> ! [C] : % 0.13/0.58 ( in(C,B) % 0.13/0.58 <=> C = A ) ) ). % 0.13/0.58 % 0.13/0.58 fof(d2_tarski,axiom, % 0.13/0.58 ! [A,B,C] : % 0.13/0.58 ( C = unordered_pair(A,B) % 0.13/0.58 <=> ! [D] : % 0.13/0.58 ( in(D,C) % 0.13/0.58 <=> ( D = A % 0.13/0.58 | D = B ) ) ) ). % 0.13/0.58 % 0.13/0.58 fof(rc1_xboole_0,axiom, % 0.13/0.58 ? [A] : empty(A) ). % 0.13/0.58 % 0.13/0.58 fof(rc2_xboole_0,axiom, % 0.13/0.58 ? [A] : ~ empty(A) ). % 0.13/0.58 % 0.13/0.58 fof(t8_zfmisc_1,conjecture, % 0.13/0.58 ! [A,B,C] : % 0.13/0.58 ( singleton(A) = unordered_pair(B,C) % 0.13/0.58 => A = B ) ). % 0.13/0.58 % 0.13/0.58 %------------------------------------------------------------------------------ % 0.13/0.58 %------------------------------------------- % 0.13/0.58 % Proof found % 0.13/0.58 % SZS status Theorem for theBenchmark % 0.13/0.58 % SZS output start Proof % 0.13/0.58 %ClaNum:30(EqnAxiom:14) % 0.13/0.58 %VarNum:96(SingletonVarNum:35) % 0.13/0.58 %MaxLitNum:4 % 0.13/0.58 %MaxfuncDepth:1 % 0.13/0.58 %SharedTerms:11 % 0.13/0.58 %goalClause: 16 18 % 0.13/0.58 %singleGoalClaCount:2 % 0.13/0.58 [15]P1(a1) % 0.13/0.58 [18]~E(a4,a5) % 0.13/0.58 [19]~P1(a6) % 0.13/0.58 [16]E(f8(a4,a7),f9(a5)) % 0.13/0.58 [17]E(f8(x171,x172),f8(x172,x171)) % 0.13/0.58 [24]~P2(x242,x241)+~P2(x241,x242) % 0.13/0.58 [26]E(f2(x262,x261),x262)+P2(f2(x262,x261),x261)+E(x261,f9(x262)) % 0.13/0.58 [27]~E(f2(x272,x271),x272)+~P2(f2(x272,x271),x271)+E(x271,f9(x272)) % 0.13/0.58 [20]P2(x201,x202)+~E(x201,x203)+~E(x202,f9(x203)) % 0.13/0.58 [21]~P2(x211,x213)+E(x211,x212)+~E(x213,f9(x212)) % 0.13/0.58 [29]~E(f3(x292,x293,x291),x293)+~P2(f3(x292,x293,x291),x291)+E(x291,f8(x292,x293)) % 0.13/0.58 [30]~E(f3(x302,x303,x301),x302)+~P2(f3(x302,x303,x301),x301)+E(x301,f8(x302,x303)) % 0.13/0.58 [22]P2(x221,x222)+~E(x221,x223)+~E(x222,f8(x224,x223)) % 0.13/0.58 [23]P2(x231,x232)+~E(x231,x233)+~E(x232,f8(x233,x234)) % 0.13/0.58 [28]E(f3(x282,x283,x281),x283)+E(f3(x282,x283,x281),x282)+P2(f3(x282,x283,x281),x281)+E(x281,f8(x282,x283)) % 0.13/0.58 [25]~P2(x251,x254)+E(x251,x252)+E(x251,x253)+~E(x254,f8(x253,x252)) % 0.13/0.58 %EqnAxiom % 0.13/0.58 [1]E(x11,x11) % 0.13/0.58 [2]E(x22,x21)+~E(x21,x22) % 0.13/0.58 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.13/0.58 [4]~E(x41,x42)+E(f8(x41,x43),f8(x42,x43)) % 0.13/0.58 [5]~E(x51,x52)+E(f8(x53,x51),f8(x53,x52)) % 0.13/0.58 [6]~E(x61,x62)+E(f9(x61),f9(x62)) % 0.13/0.58 [7]~E(x71,x72)+E(f3(x71,x73,x74),f3(x72,x73,x74)) % 0.13/0.58 [8]~E(x81,x82)+E(f3(x83,x81,x84),f3(x83,x82,x84)) % 0.13/0.58 [9]~E(x91,x92)+E(f3(x93,x94,x91),f3(x93,x94,x92)) % 0.13/0.58 [10]~E(x101,x102)+E(f2(x101,x103),f2(x102,x103)) % 0.13/0.58 [11]~E(x111,x112)+E(f2(x113,x111),f2(x113,x112)) % 0.13/0.58 [12]~P1(x121)+P1(x122)+~E(x121,x122) % 0.13/0.58 [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133) % 0.13/0.58 [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141) % 0.13/0.58 % 0.13/0.58 %------------------------------------------- % 0.13/0.58 cnf(31,plain, % 0.13/0.58 (~P2(x311,f9(x312))+E(x311,x312)), % 0.13/0.58 inference(equality_inference,[],[21])). % 0.13/0.58 cnf(32,plain, % 0.13/0.58 (~P2(x321,f8(x322,x323))+E(x321,x323)+E(x321,x322)), % 0.13/0.58 inference(equality_inference,[],[25])). % 0.13/0.58 cnf(33,plain, % 0.13/0.58 (~P2(a4,f9(a5))), % 0.13/0.58 inference(scs_inference,[],[18,31])). % 0.13/0.58 cnf(35,plain, % 0.13/0.58 (E(f9(a5),f8(a4,a7))), % 0.13/0.58 inference(scs_inference,[],[16,18,31,2])). % 0.13/0.58 cnf(39,plain, % 0.13/0.58 (E(f8(x391,x392),f8(x392,x391))), % 0.13/0.58 inference(rename_variables,[],[17])). % 0.13/0.58 cnf(40,plain, % 0.13/0.58 (~E(a4,a7)), % 0.13/0.58 inference(scs_inference,[],[16,18,17,39,31,2,21,22,23])). % 0.13/0.58 cnf(41,plain, % 0.13/0.58 (E(f8(x411,x412),f8(x412,x411))), % 0.13/0.58 inference(rename_variables,[],[17])). % 0.13/0.58 cnf(45,plain, % 0.13/0.58 (E(f8(a7,a4),f9(a5))), % 0.13/0.58 inference(scs_inference,[],[16,18,17,39,41,31,2,21,22,23,32,3])). % 0.13/0.58 cnf(47,plain, % 0.13/0.58 (P2(x471,f8(a7,a4))+~E(x471,a5)), % 0.13/0.58 inference(scs_inference,[],[16,18,17,39,41,31,2,21,22,23,32,3,20])). % 0.13/0.58 cnf(50,plain, % 0.13/0.58 (P2(a5,f8(a7,a4))), % 0.13/0.58 inference(equality_inference,[],[47])). % 0.13/0.58 cnf(55,plain, % 0.13/0.58 (E(f9(a5),f8(a7,a4))), % 0.13/0.58 inference(scs_inference,[],[50,45,40,24,31,2])). % 0.13/0.58 cnf(139,plain, % 0.13/0.58 ($false), % 0.13/0.58 inference(scs_inference,[],[55,35,33,23,22]), % 0.13/0.58 ['proof']). % 0.13/0.58 % SZS output end Proof % 0.13/0.58 % Total time :0.030000s %------------------------------------------------------------------------------